Question

solve the inequality and graph the solution on the line provided.
-11 + 4x > -39
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Add 11 to both sides

$$\begin{align*} -11 + 4x+11&>-39 + 11\\ 4x&>-28 \end{align*}$$

Step2: Divide both sides by 4

$$\begin{align*} \frac{4x}{4}&>\frac{-28}{4}\\ x&>-7 \end{align*}$$

Answer:

Inequality Notation: \(x > - 7\)

For the number - line: Place an open circle at \(-7\) (because the inequality is \(>\), not \(\geq\)) and draw an arrow to the right.